在Dagum分布上使用加速寿命试验的保修成本模型

IF 0.3 Q4 MATHEMATICS
Eman A. El-Dessouky Nassef
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引用次数: 1

摘要

保修是影响人们购买任何产品的决定的主要因素之一,因此,在市场上,制造商可以通过使用保修服务进行竞争。我们想要预测质保成本,这反映在产品的价格和盈利能力上。为了实现这一目标,本研究在假设产品寿命服从Dagum分布的情况下,对两种常见的保修模式(免费返利保修和按比例返利保修)的成本进行了预测。采用基于II型截尾的恒应力部分加速寿命试验。利用极大似然法从试验数据中估计模型参数和寿命分布的加速因子。采用正态逼近法和自举法构造了模型参数的置信区间。最后,给出了一些数值说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Warranty Cost Models using Accelerated Life Tests on Dagum Distribution
Warranty one of the main factors which effect on the decision to purchase any product whether it is non repairable or repairable, therefore, in market the manufacturers can compete by using warranty service. The cost of warranty are wanted to predict which are mirrored on the price and profitability of products. To achieve this goal, the research is concerned with predicting the cost of the two common types of warranty models which are free rebate warranty and pro-rata rebate warranty when The lifetime of items is assumed to follow Dagum distribution. The constant stress partially accelerated life tests based on type II censoring is used. Maximum likelihood method is used to estimate the model parameters and acceleration factor of lifetime distribution from the test data. Confidence Interval for the model parameters are constructed using normal approximation and bootstrap method. Finally, Some numerical illustrations are provided.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
0
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